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225836052 = 223132195861
BaseRepresentation
bin11010111010111…
…11110000010100
3120201221122211020
431131133300110
5430303223202
634224241140
75411401101
oct1535376024
9521848736
10225836052
11106529a72
12637701b0
1337a31c00
1421dc9aa8
1514c5e5bc
hexd75fc14

225836052 has 72 divisors (see below), whose sum is σ = 600737760. Its totient is φ = 65819520.

The previous prime is 225836027. The next prime is 225836059. The reversal of 225836052 is 250638522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225836059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35602 + ... + 41462.

It is an arithmetic number, because the mean of its divisors is an integer number (8343580).

Almost surely, 2225836052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225836052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300368880).

225836052 is an abundant number, since it is smaller than the sum of its proper divisors (374901708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225836052 is a wasteful number, since it uses less digits than its factorization.

225836052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 225836052 is about 15027.8425597289. The cubic root of 225836052 is about 608.9726072326.

The spelling of 225836052 in words is "two hundred twenty-five million, eight hundred thirty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2964 3211 5861 6422 9633 11722 12844 17583 19266 23444 35166 38532 70332 76193 111359 152386 222718 228579 304772 334077 445436 457158 668154 914316 990509 1336308 1447667 1981018 2895334 2971527 3962036 4343001 5790668 5943054 8686002 11886108 17372004 18819671 37639342 56459013 75278684 112918026 225836052